Question: 12 Consider the function f : R - R defined by Mar f(x) = 2 - 4 sin ( x - 1) a) State

12 Consider the function f : R - R defined by Mar f(x) = 2 - 4 sin " ( x - 1) a) State the amplitude, the phase shift, the period and the equation of the midline of the curve y = f(x). (2 marks) b) Determine all solution to the equation f(x) = 0 with x E [-8, 10]. (5 marks) c) Sketch the graph of the curve y = f(x) for x E [-8, 10]. Identify all of the x- and y-intercepts, and the coordinates of any local maxima and minima.

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